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44385768 = 23327223547
BaseRepresentation
bin1010100101010…
…0010111101000
310002112000211100
42221110113220
542330321033
64223201400
71046162400
oct251242750
9102460740
1044385768
1123066759
1212a46260
139270b8b
145c75800
153d6b513
hex2a545e8

44385768 has 144 divisors (see below), whose sum is σ = 146184480. Its totient is φ = 12108096.

The previous prime is 44385743. The next prime is 44385773. The reversal of 44385768 is 86758344.

44385768 is a `hidden beast` number, since 44 + 38 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80871 + ... + 81417.

It is an arithmetic number, because the mean of its divisors is an integer number (1015170).

Almost surely, 244385768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73092240).

44385768 is an abundant number, since it is smaller than the sum of its proper divisors (101798712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44385768 is a wasteful number, since it uses less digits than its factorization.

44385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 44385768 is about 6662.2644798897. The cubic root of 44385768 is about 354.0635718445.

The spelling of 44385768 in words is "forty-four million, three hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 547 552 588 644 828 882 966 1094 1127 1176 1288 1449 1641 1656 1764 1932 2188 2254 2898 3282 3381 3528 3829 3864 4376 4508 4923 5796 6564 6762 7658 9016 9846 10143 11487 11592 12581 13128 13524 15316 19692 20286 22974 25162 26803 27048 30632 34461 37743 39384 40572 45948 50324 53606 68922 75486 80409 81144 88067 91896 100648 107212 113229 137844 150972 160818 176134 214424 226458 241227 264201 275688 301944 321636 352268 452916 482454 528402 616469 643272 704536 792603 905832 964908 1056804 1232938 1585206 1849407 1929816 2113608 2465876 3170412 3698814 4931752 5548221 6340824 7397628 11096442 14795256 22192884 44385768